INTRODUCTION TO SIMPLE HARMONIC MOTION

 

What do you think it means?

 

 

TYPES:

 

            SHO Simple (one restoring force) proportional to displacement from equilibrium…. Harmonic (periodic, repeats)

 

Motion is like a wave……. Repeats over one : period, cycle, wave, revolution, swing, back and forth, up and down, etc…

 

            WAVES

 

 

 

            CIRCLE

 

 

 

            ENERGY

 

 

DEFINITION:

 

                        AMPLITUDE  Height or Strength of wave. Distance/Angle from equilibrium to maximum. Like height of water wave, angle of swing on pendulum, loudness of sound, brightness of light.

 

                        EQUILIBRIUM Rest point

 

 

                        PERIOD  Time per cycle (wave, swing, revolution, etc…)

                        T = sec/wave

 

                        FREQUENCY Cycles per time,  f = 1/T   waves/sec… Hertz

 

 

SPRING

                        Hooke’s Law  F = k X  , F is the restoring force and x is the displacement from rest. Applies to all SHM not just springs.

 

 

                        Spring Constant  k = F/x = Force/Distance…. N/m   k is the spring constant that is dependent on the tightness, makeup of the spring.

 

 

Pendulum: